{"id":"vidhyamitra:city-day:rishikesh:1903-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1903-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1903-10-21","date_display":"October 21, 1903 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1903,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416408.770833,"kali_year":5005,"ahargana":1827943.2708,"sun":{"sidereal_longitude":183.4674,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":190.3938,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":6.9264,"elapsed_within_tithi_degrees":6.9264},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.3938,"elapsed_within_degrees":3.7271},"yoga":{"number":2,"name":"Prīti","sum_longitude":13.8612},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1903,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416408.770833,"ahargana":1827943.2708,"kali_year":5005,"ayanamsa_lahiri":22.5092,"grahas":{"sun":{"sidereal_longitude":183.95567299999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":189.02207299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":1.8018},"mars":{"sidereal_longitude":239.04247299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":167.36897299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":322.90317300000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":147.049173,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":281.636973,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":166.7688,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":346.7688,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1903,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416408.770833,"kali_year":5005,"ahargana":1827943.2708,"sun":{"sidereal_longitude":183.4674,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":190.3938,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":6.9264,"elapsed_within_tithi_degrees":6.9264},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":190.3938,"elapsed_within_degrees":3.7271},"yoga":{"number":2,"name":"Prīti","sum_longitude":13.8612},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.802,"elongation":6.926},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.802,"opposition_distance":173.074}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"06:21","sunsetLocal":"17:41","solarNoonLocal":"12:01","dayLengthHours":11.332429537427346,"dayLengthDisplay":"11 Hours 19 Mins 57 Secs","nightLengthDisplay":"12 Hours 40 Mins 03 Secs","moonriseLocal":"06:47","moonsetLocal":"17:56","rahuKala":{"name":"Rāhu Kāla","start":"12:01","end":"13:26","startHours":12.018336323888256,"endHours":13.434890016066674,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:46","end":"09:11","startHours":7.768675247353,"endHours":9.185228939531418,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:01","startHours":10.601782631709838,"endHours":12.018336323888256,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:22","startHours":8.99635511390763,"endHours":9.374102765155207,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:08","startHours":6.824306119234055,"endHours":7.1265042402321175,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:24","startHours":11.640588672640677,"endHours":12.396083975135832,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:36","startHours":4.84113095018427,"endHours":5.5966262526794255,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:21","startHours":5.4077524270556365,"endHours":6.352121555174582,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:40","startHours":13.907074580126146,"endHours":14.662569882621302,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.48455109260193,"endHours":17.884551092601928,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:09","startHours":17.68455109260193,"endHours":18.1567356566614,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.43455109260193,"endHours":19.18455109260193,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:24","startHours":23.64058867264068,"endHours":24.396083975135834,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:21","end":"07:46","startHours":6.352121555174582,"endHours":7.768675247353,"quality":"auspicious"},{"name":"Amṛta","start":"07:46","end":"09:11","startHours":7.768675247353,"endHours":9.185228939531418,"quality":"auspicious"},{"name":"Kāla","start":"09:11","end":"10:36","startHours":9.185228939531418,"endHours":10.601782631709838,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:01","startHours":10.601782631709838,"endHours":12.018336323888256,"quality":"auspicious"},{"name":"Roga","start":"12:01","end":"13:26","startHours":12.018336323888256,"endHours":13.434890016066674,"quality":"inauspicious"},{"name":"Udveg","start":"13:26","end":"14:51","startHours":13.434890016066674,"endHours":14.851443708245093,"quality":"inauspicious"},{"name":"Chala","start":"14:51","end":"16:16","startHours":14.851443708245093,"endHours":16.26799740042351,"quality":"neutral"},{"name":"Labha","start":"16:16","end":"17:41","startHours":16.26799740042351,"endHours":17.68455109260193,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:41","end":"19:16","startHours":17.68455109260193,"endHours":19.26799740042351,"quality":"inauspicious"},{"name":"Chala","start":"19:16","end":"20:51","startHours":19.26799740042351,"endHours":20.851443708245093,"quality":"neutral"},{"name":"Labha","start":"20:51","end":"22:26","startHours":20.851443708245093,"endHours":22.434890016066674,"quality":"auspicious"},{"name":"Amṛta","start":"22:26","end":"00:01","startHours":22.434890016066674,"endHours":24.018336323888256,"quality":"auspicious"},{"name":"Kāla","start":"00:01","end":"01:36","startHours":24.018336323888256,"endHours":25.60178263170984,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"03:11","startHours":25.60178263170984,"endHours":27.18522893953142,"quality":"auspicious"},{"name":"Roga","start":"03:11","end":"04:46","startHours":27.18522893953142,"endHours":28.768675247353002,"quality":"inauspicious"},{"name":"Udveg","start":"04:46","end":"06:21","startHours":28.768675247353002,"endHours":30.352121555174584,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.352121555174582,"endHours":7.352121555174582,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.352121555174582,"endHours":8.352121555174582,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.352121555174582,"endHours":9.352121555174582,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.352121555174582,"endHours":10.352121555174582,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.352121555174582,"endHours":11.352121555174582,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.352121555174582,"endHours":12.352121555174582,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.352121555174582,"endHours":13.352121555174582,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.352121555174582,"endHours":14.352121555174582,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.352121555174582,"endHours":15.352121555174582,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.352121555174582,"endHours":16.352121555174584,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.352121555174584,"endHours":17.352121555174584,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.352121555174584,"endHours":18.352121555174584,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.352121555174584,"endHours":19.352121555174584,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.352121555174584,"endHours":20.352121555174584,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.352121555174584,"endHours":21.352121555174584,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.352121555174584,"endHours":22.352121555174584,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.352121555174584,"endHours":23.352121555174584,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.352121555174584,"endHours":24.352121555174584,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.352121555174584,"endHours":25.352121555174584,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.352121555174584,"endHours":26.352121555174584,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.352121555174584,"endHours":27.352121555174584,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.352121555174584,"endHours":28.352121555174584,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.352121555174584,"endHours":29.352121555174584,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.352121555174584,"endHours":30.352121555174584,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.209568363548064,"eotMinutes":15.829420566704727,"ayanamsa":22.5092}},"calendars":{"vikram_samvat":1960,"vikram_samvatsara":"Nala","saka_samvat":1825,"saka_samvatsara":"Śobhana","bengali_samvat":1310,"malayalam_era":1079,"nanakshahi_year":434,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Pratipada · Vikram 1960 Nala · Śaka 1825 Śobhana"},"festivals":[{"id":"govardhana-puja","name":"Govardhana Pūjā (Annakūṭa)","name_sanskrit":"गोवर्धन पूजा","tradition":"Vaishnava","associated_deity":"Krishna (Govardhana-dhārī)","significance":"Krishna lifted Govardhana to protect Vraja from Indra's wrath. Day 4 of Diwali.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 10.24-27"]}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 21, 1903 CE · Ṛṣikeśa · Vidhyamitra","description":"October 21, 1903 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 06:21, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1903-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1903-10-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1903-10-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1903-10-21","x-default":"https://vidhyamitra.com/city/rishikesh/1903-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:29:30.610Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-01T22:29:30.610Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:29:30.610Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}